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Finding the Third Proportional to 115,358 and 255,766

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Solution

The third proportional to 115,358 and 255,766 is: 567,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,358 : 255,766 = 255,766 : x
  2. Step 2: Convert to fraction form
    115,358/255,766 = 255,766/x
  3. Step 3: Cross multiply
    115,358x = 255,766 × 255,766
  4. Step 4: Simplify right side
    115,358x = 65,416,246,756
  5. Step 5: Solve for x
    x = 65,416,246,756/115,358
  6. Step 6: Final answer
    x = 567,071.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.